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Given the graph below which one of the following edges cannot be added in that order to find a minimum spanning tree algorithm.

F1 Savita ENG 22-12-23 D22

A. a - b

B. d - f

C. b - f

D. d - c

E. d - e

Choose the correct answer from the options given below: 

This question was previously asked in
UGC NET Computer Science (Paper 2) 11 March 2023 Official Paper
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  1. A, B, C, D, E
  2. A, B, D,C, E
  3. B, A, C, E, D
  4. B, A, D, C, E

Answer (Detailed Solution Below)

Option 3 : B, A, C, E, D
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Detailed Solution

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The correct answer is B, A, C, E, D

Key PointsIn Kruskal's algorithm, the edges are incorporated in the order of their increasing weights. Nonetheless, in Option 3, edge E bearing a weight of 4 is added prior to edge D with a weight of 2. Therefore, Option 3 is an incorrect representation.

F1 Savita ENG 22-12-23 D 30

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Q1.Given the graph below which one of the following edges cannot be added in that order to find a minimum spanning tree algorithm. A. a - b B. d - f C. b - f D. d - c E. d - e Choose the correct answer from the options given below: 
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Q1.Statement 1: Given a graph G = (V, E) in which each vertex v ∈ V has an associated positive weight w(v), we can use linear programming to find the lower bound on the weight of the minimum-weight vertex cover. Statement 2: The lower bound can be found by maximizing the following \(\rm\sum_{v \in V}^n {w}(v) {x}(v)\) subject to x(u) + x(v) ≥ 1 for each (u, v) ∈ V x(v) ≤ 1 for each v ∈ V x(v) ≥ 0 for each v ∈ V In the light of the above statements, choose the most appropriate answer from the options given below:
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